Original title: Matematické modely v biologii
Translated title: Mathematical models in biology
Authors: Vidová, Katarína ; Šremr, Jiří (referee) ; Opluštil, Zdeněk (advisor)
Document type: Bachelor's theses
Year: 2018
Language: cze
Publisher: Vysoké učení technické v Brně. Fakulta strojního inženýrství
Abstract: [cze] [eng]
V tejto práci sa zameriame na zostavenie modelov z matematickej biológie popisujúcich interakciu dravec - korisť. Porovnáme najzákladnejší model Lotka - Volterra s realistickejšími modelmi, tzn. s modelom s vnútrodruhovou konkurenciou a s modelom Gauseho typu. Na záver tieto modely aplikujeme v konkrétnych situáciách a s pomocou softwaru Matlab vykreslíme trajektórie riešení. The focus of this thesis is on a model construction from the field of mathematical biology describing interaction predator-prey. The most elementary Lotka–Volterra model is compared with more realistic models, i.e. intraspecific competition model and Gause model. Finally, the models are applied in specific situations and solution trajectories are drawn using Matlab.
Keywords: Gause model; Lotka - Volterra model; Mathematical model; predator - prey model; Matematický model; model dravec - korisť; model Gauseho typu; model Lotka - Volterra

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/138080

Permalink: http://www.nusl.cz/ntk/nusl-571862


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Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Bachelor's theses